matematicas visuales visual math

Geometric sequence

The geometric sequence general term is

We can modify the dots and to see a geometric sequence representation.

The gray dot allow us to modify the ordinate axe scale.

The dots in the Y-axe forms a geometric sequence and the dots in the X-axe forms an aritmetic trivial sequence.

When the ratio r is grater than 1 we have a increasing sequence.

If the ratio is less than 1 the sequence is decreasing and the general term tends to 0.

If we see the sequence as a function, its domain is the natural numbers. We can easily extends this domain to be the integers. We want to extends this function to the rationals and to the reals numbers.